Keynote

Teaching Through Problem Solving Make Textbook Pages Come Alive

Yeap Ban Har

Slides are available at

www.banhar.blogspot.com

key focus singapore

mathematics of

problem solving Learning Standards

Divide the square into 4

equal parts

Divide the square into 4

equal parts

Divide the square into 4

equal parts

Divide the square into 4

equal parts

Divide the square into 4

equal parts

Divide the square into 4

equal parts

Pathlight School, Singapore

My Pals Are Here! Maths (Second Edition)

Singapore Math Institute, Hawaii

Initial Concrete

Experience

Subsequent Pictorial

Representation

Eventual Symbolic

Representation

My Pals Are Here! Maths (Second Edition)

St Edward’s School, Florida

Eventual Symbolic

Representation

My Pals Are Here! Maths (Second Edition)

St Edward’s School, Florida

St Edward’s School, Florida

Grade 2

concrete pictorial abstract

Primary Mathematics (U.S. Edition)

It does not show

half. What does it

show then?

It does not show

fourth. What does it

show then?

F R A C T I O N opportunities for

differentiation

Primary Mathematics (U.S. Edition)

problem solving thinking

conceptual understanding

12

8

9

6

6

4

3

2

??

1

12

6

??

3

12

6

??

2

12

6

Method 1

Method 2

8

6

4

3

Method 3

8

1

4

1

11

10

9

8

What if …?

Method 1

Method 2

Write all as twelfth

Method 3

Compare to half

6 2 = 3

6 2 = 3

3

113

4

33

6 2 = 3

Primary Mathematics (Standards Edition)

problem solving thinking

conceptual understanding